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Finding the Third Proportional to 117,850 and 256,191

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Solution

The third proportional to 117,850 and 256,191 is: 556,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,850 : 256,191 = 256,191 : x
  2. Step 2: Convert to fraction form
    117,850/256,191 = 256,191/x
  3. Step 3: Cross multiply
    117,850x = 256,191 × 256,191
  4. Step 4: Simplify right side
    117,850x = 65,633,828,481
  5. Step 5: Solve for x
    x = 65,633,828,481/117,850
  6. Step 6: Final answer
    x = 556,926.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.